
Analytic Trigonometry?
So, I've been having issues with my homework. My teacher was gone for the class and posted up videos, but both the videos and the book don't really go over a number of the problems. I'm having issues with a few, and I was wondering if somebody could guide me through them step by step.
Anyways, here are the ones I was having problems with:
Find sin 2x, cos 2x, and tan 2x from the given information. csc x = 7, tan x < 0
Simplify the expression by using a DoubleAngle Formula or a HalfAngle Formula.
a) cos^{2} θ/2  sin^{2}θ/2 b) 2 sin θ/2 cos θ/2
Evaluate the expression under the given conditions. sin 2θ; sin θ = 1/5, θ in Quadrant II
Find the value of the sum
cos π/12 + cos 7π/12
Sorry it's quite a lot, but it's new information and I 'm having a hard time without a professor around to answer my questions.